REFERENCES [1] Ahlfors, L., "Complex Analysis." McGraw-Hill, New York, 1953. [2] Bachmann, H., "Transfinite Zahlen" (Ergebnisse der Math., Neue Folge, Heft 1). Springer, Berlin, 1955. [3] Bourbaki, N., "Elements de Mathematique," Livre I, "Theorie des Ensembles" (Actual. Scient. Ind., Chaps. I, II, No. 1212; Chap. Ill, No. 1243). Hermann, Paris, 1954-1956. [4] Bourbaki, N., "Elements de Mathematique," Livre II, "Algebre," Chap. II (Actual. Scient. Ind., Nos. 1032, 1236, 2nd ed.). Hermann, Paris, 1955. [5] Bourbaki, N., "Elements de Mathematique," Livre III, "Topologie generate" (Actual. Scient. Ind., Chaps. I, II, Nos. 858, 1142, 4th ed.; Chap. IX, No. 1045, 2nd ed.; Chap. X, No. 1084, 2nd ed.). Hermann, Paris, 1949-1958. [6] Bourbaki, N., "Elements de Mathematique," Livre V, "Espaces vectoriels topo- logiques" (Actual. Scient. Ind., Chap. I, II, No. 1189, 2nd ed.; Chaps. III-V, No. 1229). Hermann, Paris, 1953-1955. [7] Cartan, H., "Seminaire de I'Ecole Normale Superieure, 1951-1952: Fonctions analytiques et faisceaux analytiques." [8] Cartan, H., "Theorie elementaire des fonctions analytiques." Hermann, Paris, 1961. [9] Coddington, E., and Levinson, N., "Theory of Ordinary Differential Equations." McGraw-Hill, New York, 1955. [10] Courant, R., and Hilbert, D., "Me'thoden der mathematischen Physik," Vol. I, 2nd ed. Springer, Berlin, 1931. [11] Halmos, P., "Finite Dimensional Vector Spaces," 2nd ed. Van Nostrand, Princeton, New Jersey, 1958. [12] Ince, E., "Ordinary Differential Equations." Dover Publications, New York, 1949. [13] Jacobson, N., "Lectures in Abstract Algebra," Vol. II, "Linear Algebra." Van Nostrand, Princeton, New Jersey, 1953. [14] Kamke, E., "Differentialgleichungen reeller Funktionen." Akad. Verlag, Leipzig, 1930. [15] Kelley, J., "General Topology." Van Nostrand, Princeton, New Jersey, 1955. [16] Landau, E., "Foundations of Analysis." Chelsea, New York, 1951. [17] Springer, G., "Introduction to Riemann Surfaces." Addison-Wesley, Reading, Massachusetts, 1957. [18] Weil, A., "Introduction a 1'etude des varietes kahleriennes" (Actual. Scient. Ind., No. 1267). Hermann, Paris, 1958. [19] Weyl, H., "Die Idee der Riemannschen Flache," 3rd ed. Teubner, Stuttgart, 1955. 380 espond to increasing ank(w). If u(E) is infinite dimensional, then u is said to